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Finding the Fourth Proportional to 9,170.77, 12,642.73 and 6,517.21

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Solution

The fourth proportional to 9,170.77, 12,642.73 and 6,517.21 is: 8,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.77 : 12,642.73 = 6,517.21 : x
  2. Step 2: Convert to fraction form
    9,170.77/12,642.73 = 6,517.21/x
  3. Step 3: Cross multiply
    9,170.77x = 12,642.73 × 6,517.21
  4. Step 4: Simplify right side
    9,170.77x = 82,395,326.38
  5. Step 5: Solve for x
    x = 82,395,326.38/9,170.77
  6. Step 6: Final answer
    x = 8,984.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.